Find the slope from a table, a graph or two points

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. Read this first

   Use the table

   input: x	output: y
   8	4
   -4	-5
   12	7
   4	1

2. 1.

   Noah's math-club table is linear, with uneven steps and mixed-up rows. What is the slope of the line?

   3/4
3. 2.

   Pia's class tracks melting snow in the schoolyard on a few days. What is the slope (rate of change), in cm per day?

   -3/2
4. 3.

   In math club, Tala gets two points on a line: (-1.5, 2) and (1, -3). What is the slope of the line?

   -2
5. 4.

   Bo plots a line on a math-club grid. The two axes have different scales. What is the slope of the line?

   -4
6. 5.

   Esme plots a flat line on a math-club grid. The two axes have different scales. What is the slope of the line?

   0
7. 6.

   Kira's bath has 42 L after 1.5 minutes of filling and 102 L after 4 minutes. What is the rate of change, in liters per minute?

   24
8. 7.

   At 6 p.m. it is 9 °C outside Luz's window. By 11 p.m. it is -1 °C. What is the rate of change, in °C per hour?

   -2
9. 8.

   Jun keeps hike notes on paper. Walking downhill, the trail is at 1,850 m after 2 hours and at 1,250 m after 5 hours. What is the rate of change, in meters per hour?

   -200
10. 9.

    Milo's line has slope 3 and goes through (2, 5). Another point on it has x = 6. What is its y?

    17
11. 10.

    Noah's line has slope -2 and goes through (-1, 4). Another point on it has x = 3. What is its y?

    -4